# How to calculate the integral of a erf times another function?

Hi

I'm encountered the calculation of this function $\int^{\infty}_0 e^{-x^2} f(x) dx$. How to do it? Thanks.

SteamKing
Staff Emeritus
Homework Helper
Depends of what f(x) is.

Depends of what f(x) is.

SteamKing, thanks. I have another problem, which I encountered in the same paper. Maybe you could help me. Thanks in advance.

The author asserts that $V(k,t)=V(k,0)e^{-k^2t}+ k\int^{t}_{0}C(t')e^{k^2(t'-t)}dt'$ implies $V(k,t)=C(t)/k + \mathcal{O}(k^{-3})$ when t>0 and $k\rightarrow \infty$. Could you see this?

mathman